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Finding the Fourth Proportional to 530,614.30, 732,702.86 and 513,455.97

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Solution

The fourth proportional to 530,614.30, 732,702.86 and 513,455.97 is: 709,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,614.30 : 732,702.86 = 513,455.97 : x
  2. Step 2: Convert to fraction form
    530,614.30/732,702.86 = 513,455.97/x
  3. Step 3: Cross multiply
    530,614.30x = 732,702.86 × 513,455.97
  4. Step 4: Simplify right side
    530,614.30x = 376,210,659,492.49
  5. Step 5: Solve for x
    x = 376,210,659,492.49/530,614.30
  6. Step 6: Final answer
    x = 709,009.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.